Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aaac_v1_0.gz(5 Kbytes)|
|Manuscript Title: Inversion of Abel's integral equation - application to plasma spectroscopy.|
|Authors: C. Fleurier, J. Chapelle|
|Program title: ABEL|
|Catalogue identifier: AAAC_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 7(1974)200|
|Programming language: Fortran.|
|Computer: IBM 360/25.|
|Operating system: DOS/360.|
|RAM: 7K words|
|Word size: 32|
|Keywords: Plasma physics, Spectroscopy, Abel integral equation, Least squares, Approximation, Data interpretation.|
Nature of problem:
The purpose of this program is to determine the radial distribution of the emission coefficient from the measured intensity distribution emitted by an extended source of radiation, particularly a plasma source. The source is assumed to be optically thin and axially symmetrical.
This problem is solved by inverting Abel's integral equation. A smoothing procedure is made on the experimental curve in order to attenuate the random errors before computing the derivative. The integral is calculated analytically in a small interval on the right of the discontinity point, the other part is estimated numerically.
The computation is nearly entirely numerical and needs equally spaced points for the data.
For an experimental curve defined by 21 points the calculation time is less than 30 s on the IBM 360/25 computer.
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